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Finding the Third Proportional to 176,776 and 384,290

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Solution

The third proportional to 176,776 and 384,290 is: 835,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,776 : 384,290 = 384,290 : x
  2. Step 2: Convert to fraction form
    176,776/384,290 = 384,290/x
  3. Step 3: Cross multiply
    176,776x = 384,290 × 384,290
  4. Step 4: Simplify right side
    176,776x = 147,678,804,100
  5. Step 5: Solve for x
    x = 147,678,804,100/176,776
  6. Step 6: Final answer
    x = 835,400.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.